Use the number line to determine the sum
−6+4.

-2

Step-by-step explanation: When you're adding and subtracting positives and negatives, it helps to use a number line to visualize what's going on. On a number line, 0 is in the middle and all number to the right of 0 are positive and all numbers to the left of 0 are negative.

When we are simplifying a problem like -6 + 4, we start at 0 and -6 moves us 6 units to the left along our number line. From there, positive 4 then moves us 4 units back to the right and we end up at -2.

This means that -6 + 4 = -2.

Image provided.

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²

good luck on ur quiz test or homework. have a good day : )